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arXiv:2004.01505 [math.DG]AbstractReferencesReviewsResources

Tori Can't Collapse to an Interval

Sergio Zamora

Published 2020-03-30Version 1

Here we prove that under a lower sectional curvature bound, a sequence of manifolds diffeomorphic to the standard $m$-dimensional torus cannot converge in the Gromov-Hausdorff sense to a closed interval.

Comments: 7 pages, 3 figures
Categories: math.DG, math.MG
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